Anna likes to skate at a candy store that is due south of her school and due west of her favorite skate park. If the candy store is 8 miles from her school and the straight-line distance between the school and the skate park is 10 miles, how far is the candy store from the skate park?

Answers

Answer 1

Answer:

6 miles

Step-by-step explanation:

Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.

The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem

10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park

100 = 64 + x^2

100 - 64 = x^2

36 = x^2

6^2 = x^2

x = 6

The distance between the  candy store and the skate park is 6 miles


Related Questions

What is the value of 6(2b-4) when b=5?

Answers

Answer:

36

Step-by-step explanation:

Substitute b=5 to the expression:

=6(2(5)−4)

Evaluate inside the parentheses. Multiply 2 and 5 first:

=6(10−4)

Then subtract:

=6(6)

Finally, multiply:

=36

Answer: The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:  Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.

Help!!! Consider function f


Which statement is true about function f?

A. The function is increasing over its entire domain


B. The function is continuous


C. As x approaches positive Infinity, f(x) approaches positive infinity


D. The domain is all real numbers

Answers

It’s C . You welcome

The correct statement of function is the function is continuous.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

As, functions approach the same value as x approaches 0.

Now, -x² +4x +1 at x= 2 we get

= -4 + 8 +1 = 5

and, 1/2x + 3 = 1+3= 4

So, we reject the statement.

Now, as x increases without bound,

1/2x +3 increases with bound.

Therefore the statement B is true statement.

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PLEASE HURRY THANK YOU!!!!

Answers

Answer:

-125

Step-by-step explanation:

[-5]^3 = -125

i need help with my last two questions:)

Answers

Answer:

5. (a)

6. (b)

I am hoping that this will help you

let fill this out it is timed so pls do it quickly

Answers

Answer:

They have no relation, except for the fact that they intersect. If the equations were instead y = +5/4x - 1/2 and y = -4/5x + 2, or y = +4/5 + 2 and y = -5/4x -1/2, then they would be perpendicular.

Option 3 is the right answer.

Step-by-step explanation:

For the given lines y = -4/5x+2 and y = -5/4x - 1/2

we have to identify whether lines are parallel or perpendicular.

As we know if two lines are perpendicular then gradients of two lines will in the form of

m1 m2=(-1)

and if the lines are parallel then the gradients of the lines will be same.

m1=m2

Here m1 = -4/5 and m2 = -5/4

Therefore

m1m2=(-4/5)(-5/4)=(+1)

and  

m1≠m2

So both the lines are neither parallel nor perpendicular to each other.

Option 3 is the right answer.

plsssssssss help I really need to do this I will give brainliest to anyone who solves

Answers

Answer:

MSP: 6a/2

CUB: ab/2

ABC: 20 square centimeters

KDR: 5x cm * 3x cm / 2

Step-by-step explanation:

MSP: 6 x a divided by 2

CUB: a x b divided by 2

ABC: 8 x 5 divided by 2

KDR: 5xcm * 3xcm divided by 2

Solve the equation f(x) = -4x2 – 3x + 2 using the quadratic formula.

a. X=-1.17 and x = 0.43
b. x = 0.58 and x = 4.18
C. X = -4,X = -3, x = -2
d. x = 1.12 and x = 3.53

Need answer ASAP!

Answers

The solution f(x) = -4x2 – 3x + 2 is x=-1.17 and x = 0.43

The correct option is (A)

What is Quadratic equation ?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given equation is :-4x²-3x+2

using the Quadratic Formula where

a = -4, b = -3, and c = 2

x = -b ±√b²-4ac/2a

  = 3±√9+32/(-8)

  = 3± √41/(-8)

x= 3/(-8) + √41/(-8) or     x= 3/(-8)- √41/(-8)

x= -1.17 and x= 0.4253

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need help with simple question​

Answers

Answer:

I think it is 10

Step-by-step explanation:

I said I think it might be 9

help me pls theheheh

Answers

Answer:

108 schools

Step-by-step explanation:

Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume? (Hint: Start by finding the volume of Cylinder A.)

Answers

Answer:

6

Step-by-step explanation:

Answer:

h=8 in

Step-by-step explanation:

Formula: V=pi r^2 h

Cylinder A:

radius: 4 in  height: 2 in

V=pi*4^*2*2

V=pi*16*2

V=pi*32

V=3.14*32

V=100.48

Cylinder B:

radius: 2 in  height: ?  volume: 100.48

100.48=pi*2^2*h

100.48=pi*4*h

100.48=3.14*4*h

100.48=12.56*h

100.48/12.56=h

h=8 in

Hope this helps :)

Plz give me brainliest

2(3×+4)=4×+12 i need help with this problem​

Answers

Answer:

x = 2

Step-by-step explanation:

2(3x + 4) = 4x + 12

6x + 8 = 4x + 12

2x + 8 = 12

2x = 4

x = 2

3k + 10 = 22 I just wanna know all the steps to this question
and answer

Answers

3k + 10 = 22
3k = 22-10
3k = 12
k = 12/3
k = 4

Please Help WILL MARK BRAINLIEST
18 Points
Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her jump distance.


Month Vertical Jump in inches
0 16
2 17
4 18
6 19
f of x equals one half times x plus 16
f of x equals one half times x plus 19
f(x) = 2x + 16
f(x) = 2x + 19

Answers

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

The equation of the line in slope intercept form is

we have

-----> the point (0,16) is the y-intercept

substitute

convert to function notation

f(x)=y

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

 

step 2

Find the equation of the line into point slope form

we have

substitute

Convert to standard form

Multiply by 4 both sides to remove the fraction

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

-brainly user

Answer:

Your function would be y = 1/2x + 16.

Explanation:

Points: (0, 16); (2, 17)

Slope: m = (17 - 16) / (2 - 0) = 1/2

Slope intercept form: y = mx + b

So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.

Therefore, your ending function is y = 1/2x + 16.

Please help me on maths

Answers

Answer:

x = 25

Step-by-step explanation:

x + 25 + 2x - 10 + 90 = 180

3x + 105 = 180

3x = 75

x = 25

Use the table to identify the value of p and q that should be used to factor x^2-3x-10 as (x+p)(x+q) I’ve seen the answer with positive 3x but not a answer for negative

Answers

Answer:

1

Step-by-step explanation:

1 is the right answer for this question

Write and Solve an equation to find the value of x and a missing angle in the triangle below.

Answers

x =17 and FGH = 35 degree

explain rounding up numbers i dont mean only examples but definitions too

Answers

Answer:

Rounding up numbers means to make a number with many numerical values or digits into a more simpler way.

Step-by-step explanation:

In order to round up a number you have to look to the digit next to it and if its greater then five it rounds up, if it's less then five it stays the same. If the number only has one digit then you have to look at that number and round up by seeing if its greater than or less than five.

Examples:

[tex]7[/tex]

[tex]7>5[/tex]

[tex]7=10[/tex]

7 rounded up equals 10 because 7 is more near 10 then it is to one.

Round the number 12,371 to the nearest thousand.

This means to find the thousands place value (two) check the number next to the thousands place value (hundreds or three) and check to see if that number is greater then five or not.

[tex]12,371[/tex]

[tex]3 <5[/tex]

[tex]=12,000[/tex]

Therefore the 12,371 rounded to the nearest thousand is "twelve-thousand" and that's because three is not greater then or equal to five.

Hope this helps.

Chandra had 9 jugs of juice at her party.Eacu jig had 1 gallon of juice in it at the start of the party.

Answers

Answer:

could you explain more clearly for me? if Chandra had 9 jugs, each was one gallon, what's the take away? I need to know for example: each member had 2 cups of juice which would sum up to (insert number) how much juice was left?

In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)

Answers

Answer:

(8) [tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

(9) [tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

(10) [tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex](8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)[/tex]

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

[tex]x + y = -6 - 2[/tex]

[tex]x + y = -8[/tex] --- (1)

[tex]2x - y = 2 * (-6) - (-2)[/tex]

[tex]2x - y = -10[/tex] -- (2)

So, the equations are:

[tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

[tex]3x - y = 3 *(-12) - 18[/tex]

[tex]3x - y = -54[/tex]

[tex]4x + y = 4 * (-12) + 18[/tex]

[tex]4x + y = -30[/tex]

So, the equations are:

[tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

Solving (9): (2,0)

Let the equations be: x + y and x - y

[tex]x + y = 2 + 0[/tex]

[tex]x + y = 2[/tex]

[tex]x - y = 2 - 0[/tex]

[tex]x - y = 2[/tex]

So, the equations are:

[tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]

The difference of two numbers is 19 and their sum is 121. Find the numbers.​

Answers

Follow the link below to help you

hi can someone answer this

Answers

40 ......................

Answer:

B

Step-by-step explanation:

When two angles are on the interior like that, they are adding up to 180 degrees in total.

So, x would be 20 because

2x+60=

2 times 20, plus 60 = 100

and 3x+20=

And 3 times 20, plus 20 = 80

Adding up 100 and 80, you get 180 degrees.

I hope this helps. I'm a student too but I hope I explained it relatively ok.

3/4+4/5-7/10 i dont know it

Answers

Answer:

17/20

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] + [tex]\frac{4}{5}[/tex] - [tex]\frac{7}{10}[/tex]

common denominator is 20

15/20 + 16/20 - 14/20

17/20

Find the unit rate
34 carbs for every 1/3 serving

Answers

Answer:

102.010201 carb per serving

Step-by-step explanation:

Stock in Daenerys Industries has a beta of 1.2. The market risk premium is 5 percent, and T-bills are currently yielding 4.2 percent. The company's most recent dividend was $1.40 per share, and dividends are expected to grow at an annual rate of 5 percent indefinitely. If the stock sells for $30 per share, what is your best estimate of the company's cost of equity?

Answers

Answer:

The best estimate of the company's cost of equity is 10.05%.

Step-by-step explanation:

Using growth rate model formula, the cost of equity can be calculated as follows:

Cost of equity as per growth rate model = (D1 / P) + g ................ (1)

D1 = Most recent dividend * (1 + g) = $1.40 * (1 + 0.05) = $1.47

P = Current price per share = $30

g = Growth rate of dividend = 5%, or 0.05

Substituting the values into equation (1), we have:

Cost of equity as per growth rate model = ($1.47 / $30 ) + 0.05

Cost of equity as per growth rate model = 0.099. or 9.90%

Using Capital Asset Pricing Model (CAPM) formula, the cost of equity can be calculated as follows:

Cost of equity as per CAPM = Risk free rate + (Beta * Market risk premium) = 4.2 + (1.2 * 5) = 10.20%

Therefore, we have:

Best estimate of Cost of equity = (Cost of equity as per growth rate model + Cost of equity as per CAPM) / 2 = (9.90% + 10.20%) / 2 = 10.05%

Therefore, the best estimate of the company's cost of equity is 10.05%.

The histogram gives information about the waiting time

Answers

Answer:

what historian

what was the information

Fill in the blank



10:18=________:9

Answers

Answer:

the answer to the blank is 5

(just in case you're confused) the answer is 5:9

Step-by-step explanation:

HELPPPPPPP What is the volume? Use the pi button on your calculator. Round to nearest hundredth. (Don't include units, just the #.) *

Answers

Answer:

The volume is  2703.730036 (I didn't round it)

Step-by-step explanation:

Which expression is equivalent to x2 − 17x − 60?

A.
(x + 5)(x − 12)

B.
(x − 20)(x + 3)

C.
(x − 5)(x − 12)

D.
(x − 20)(x − 3)

Answers

Answer:

the person above is correct

Step-by-step explanation:

its c

The expression x² − 17x − 60 can be factorized as  (x + 3) (x- 20).

What is expression?

An expression in math is a sentence with a minimum of two numbers/ variables and at least one math operation in it. Let us understand how to write expressions.

Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

x² − 17x − 60

Now, factorizing we get

x² − 20x + 3x − 60

= x(x − 20) + 3(x − 20)

= (x + 3) (x- 20)

Hence, the expression can be factorized as  (x + 3) (x- 20).

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could someone maybe help me with this ?

Answers

Answer:

The scale factor is 3

Step-by-step explanation:

The answer is 3

A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as a mixed number in its simplest form.

Answers

Answer:

The volume of the cube is;

[tex]8\dfrac{3}{4} \ cube \, units[/tex]

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

The side length of each cube, s = 1/2 unit

The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = [tex]8\dfrac{3}{4} \ cube \, units[/tex] = 8.75 cube unit

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